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Finding the Third Proportional to 4,725,234 and 7,144,230

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Solution

The third proportional to 4,725,234 and 7,144,230 is: 10,801,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,234 : 7,144,230 = 7,144,230 : x
  2. Step 2: Convert to fraction form
    4,725,234/7,144,230 = 7,144,230/x
  3. Step 3: Cross multiply
    4,725,234x = 7,144,230 × 7,144,230
  4. Step 4: Simplify right side
    4,725,234x = 51,040,022,292,900
  5. Step 5: Solve for x
    x = 51,040,022,292,900/4,725,234
  6. Step 6: Final answer
    x = 10,801,586.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.